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Q: What formula of triangles says that the square of the hypotenuse id equal to the sum of the squares of the other two sides?

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Pythagoras' theorem

Two isosceles right triangles, if joined hypotenuse-to-hypotenuse will make a square. Two squares, sided by side, make a rectangle which is a parallelogram, and not a square.

they have at least one right angle. A square is the union of two isosceles right triangles. The hypotenuse of each triangle is the diagonal of the square.

A diagonal bisecting a square creates two identical right triangles. The diagonal is the hypotenuse of a right triangles, so its length is the square root of the sums of the squares on the opposite two sides.

Yes. Consider the situation when: the right-angled triangles are also isosceles and the hypotenuse (longest side) of the triangles is equal to the side of the square. If you surround a square with four of right-angled triangles (the sides of the square being in contact with the hypotenuses of the triangles), you get a larger shape which is also a square. Taking this as a basic unit, you can make a tesselations. You can also make tessalations if you have two sets of squares, one with sides the same length of the hypotenuse of the triangles and one with sides the same length as the smaller sides of the triangles.

The answer will depend on the dimensions of the 2 squares

One square and four triangles.

The square of the hypotenuse of a right triangle ("h") is equal to the sum of the squares of the other two sides of the right triangle ("a" and "b"): h2 = a2 + b2. hypotenuse is equal to square root of a2+b2.

It is Pythagoras' theorem that is applicable to right angle triangles.

He came up with the infamous Pythagoras' Theorem, which states that the square of the hypotenuse of a right angled triangle is equal to the sum of the squares of the other two sides: a2 = b2 + c2 ; where a is the hypotenuse.

The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the two adjacent sides.

The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.

Four triangles can be arranged in a square. Area of square built upon hypotenuse of right angle is equal to the sum of the area of the squares upon the remaining sides.

4 triangles 1 square

What is the formula to determine the number of triangles in a given square of forty-four triangles?

There are 2 triangles in a square so the ratio to square and triangle is 2 to 1

If I recall it correctly Pythagoras found the when dealing with right angle triangles, the square on the hypotenuse equaled the sum of the squares on the other two sides.

This particular theorem states that the sum of the squares of the two sides of a triangle always equals to the square of the hypotenuse or the biggest side of the triangle. It applies only to right triangles. Right triangles have only one right angle and is always opposite to the hypotenuse.

Pythagoras told us that the hypotenuse of a right triangle equals the square root of the sum of the squares of the other two sides. If you draw a line from corner to opposite corner of your building you divide the floor into two triangles with the same length sides and the hypotenuse is the diagonal of the building. So, taking one of the two triangles the length of the hypotenuse is equal to the square root of 242 + 362 which is 43.27

That is the Pythagoras theorem.

It is Pythagoras' theorem

You can combine the 2 triangles for a square and then add the 2 other squares next to it, and you get a rectangle. :) And you're welcome

For right angled triangles it is the square root of square of side A added to square of side B (sorry i don't have a square sign on my keyboard) hypotenuse=square root of AxA+BxB

Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.

The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that:"The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."